Periodic and subharmonic solutions for a 2nth-order p-Laplacian difference equation containing both advances and retardations
نویسندگان
چکیده
منابع مشابه
Existence of periodic solutions for a 2nth-order difference equation involving p-Laplacian∗
By using the critical point theory, the existence of periodic solutions for a 2nth-order nonlinear difference equation containing both advance and retardation involving p-Laplacian is obtained. The main approaches used in our paper are variational techniques and the Saddle Point Theorem. The problem is to solve the existence of periodic solutions for a 2nth-order p-Laplacian difference equation...
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By using the critical point theory, the existence of periodic solutions for 2nth-order nonlinear pLaplacian difference equations is obtained. The main approaches used in our paper are variational techniques and the Saddle Point theorem. The problem is to solve the existence of periodic solutions for 2nth-order p-Laplacian difference equations. The results obtained successfully generalize and co...
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where Δ is the forward difference operator Δxn = xn+1 − xn, Δxn = Δ(Δxn), φp(s) is p-Laplacian operator φp(s) = |s|p−2s (1 < p < ∞), and f : Z×R3 → R is a continuous functional in the second, the third, and fourth variables and satisfies f (t +m,u,v,w) = f (t,u,v,w) for a given positive integerm. We may think of (1.1) as being a discrete analogue of the second-order functional differential equa...
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where φp(x) = |x|p–x for x = and p > ; σ and c are given constants with |c| = ; φp() = , f () = . The conjugate exponent of p is denoted by q, i.e. p + q = . f , g , β , e, and τ are real continuous functions on R; τ , β , and e are periodic with periodic T , T > is a constant; ∫ T e(t)dt = , ∫ T β(t) = . As we know, the p-Laplace Rayleigh equation with a deviating argumen...
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By means of Mawhin’s continuation theorem, we study a kind of third-order p-Laplacian functional differential equation with distributed delay in the form: ( φp(x ′(t)) )′′ = g ( t, ∫ 0 −τ x(t+ s) dα(s) ) + e(t), some criteria to guarantee the existence of periodic solutions are obtained. Keywords—p–Laplacian, Distributed delay, Periodic solution, Mawhin’s continuation theorem
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2018
ISSN: 2391-5455
DOI: 10.1515/math-2018-0123